Question

Sasha says that she drew an acute isosceles triangle Westside length of 6 cm 9 cm and 12 cm and angles of 30° 50° and 100° Daniel says that is not possible explain using

Answer 1

It isn't possible, because in an isosceles triangle, two angles and two sides are the same, but Sasha used 3 different lengths, and different angles.

Answer 2

The question is asking us to find if an acute isosceles triangle with sides 6 cm 9 cm and 12 cm and angles of 30° 50° and 100° is possible or not.

In geometry, an isosceles triangle is a triangle that has two sides of equal length also two of the angles are equal.

In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.

For any acute isosceles triangle two sides and two angles are equal .Each angle is less than 90 degrees.

In the given situation angles given are 30° 50° and 100°.One angle is greater than 90 degrees and any two angles are not equal.

Also none of the two sides are of equal length.Daniel is correct in saying Sasha will not be able to draw an acute isosceles triangle with given angles and sides.